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105311530231 is a prime number
BaseRepresentation
bin110001000010100001…
…1100110110011110111
3101001211100020000221121
41202011003212303313
53211134222431411
6120213543324411
710415501144245
oct1420503466367
9331740200847
10105311530231
1140731682406
12184b0750707
139c1407533b
145150657795
152b156cb571
hex18850e6cf7

105311530231 has 2 divisors, whose sum is σ = 105311530232. Its totient is φ = 105311530230.

The previous prime is 105311530199. The next prime is 105311530253. The reversal of 105311530231 is 132035113501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105311530231 - 25 = 105311530199 is a prime.

It is a super-2 number, since 2×1053115302312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105311530196 and 105311530205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105311530271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52655765115 + 52655765116.

It is an arithmetic number, because the mean of its divisors is an integer number (52655765116).

Almost surely, 2105311530231 is an apocalyptic number.

105311530231 is a deficient number, since it is larger than the sum of its proper divisors (1).

105311530231 is an equidigital number, since it uses as much as digits as its factorization.

105311530231 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1350, while the sum is 25.

Adding to 105311530231 its reverse (132035113501), we get a palindrome (237346643732).

The spelling of 105311530231 in words is "one hundred five billion, three hundred eleven million, five hundred thirty thousand, two hundred thirty-one".